2012000002001 has 32 divisors (see below), whose sum is σ = 2272722416640. Its totient is φ = 1764616550400.

The previous prime is 2012000001943. The next prime is 2012000002039. The reversal of 2012000002001 is 1002000002102.

It is not a de Polignac number, because 2012000002001 - 2¹⁴ = 2011999985617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2012000002001.

It is not an unprimeable number, because it can be changed into a prime (2012000002801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432035465 + ... + 432040121.

It is an arithmetic number, because the mean of its divisors is an integer number (71022575520).

Almost surely, 2^{2012000002001} is an apocalyptic number.

It is an amenable number.

2012000002001 is a deficient number, since it is larger than the sum of its proper divisors (260722414639).

2012000002001 is a wasteful number, since it uses less digits than its factorization.

2012000002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8345.

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 2012000002001 its reverse (1002000002102), we get a palindrome (3014000004103).

The spelling of 2012000002001 in words is "two trillion, twelve billion, two thousand, one".